Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be
within 0.01 mm of 8 mm. This is represented by |x – 8| < 0.01.
Write this inequality as a compound inequality without absolute value bars.
Solve the inequality.
Graph the solutions on a number line.
What do the solutions of the inequality mean for the bolt?
Write this inequality as a compound inequality without absolute value bars.
Solve the inequality.
Graph the solutions on a number line.
What do the solutions of the inequality mean for the bolt?
1 answer:
Answer:
-.01 < x-8 < .01
7.99 < x< 8.01
see attached
The bolts must be greater than 7.99mm and less than 8.01 mm
Step-by-step explanation:
|x – 8| < 0.01
to remove the absolute value bars, we need the positive and negative solutions
x-8 < .01 and x-8 > -.01
-.01 < x-8 < .01
solve
add 8 to each side
-.01 < x-8 < .01
8 + -.01 < x-8+8 < .01 +8
7.99 < x< 8.01
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Answer:
The initial temperature of the object was 37.6 degrees Celsius
The initial temperature of the object was 37.6 (without units)
Step-by-step explanation:
we have
where
f(t) represent the temperature of the object in degree Celsius
t is the time in minutes
<em>Find the value of the constant C</em>
we have the ordered pair (4,35)
substitute in the equation and solve for C
Find the initial value of the object
we know that
The initial temperature is the value of f(t) when the value of t is equal to zero
so
For t=0
therefore
The initial temperature of the object was 37.6 degrees Celsius
The initial temperature of the object was 37.6 (without units)